A freight train is loaded with 12 1/2 tons of corn, 11 1/3 tons of oats, and 6 1/4 tons of wheat. How many tons of grain is it carrying?
is the answer 30 1/2?
or 30 1/12?
Yes, 30 1/12
Tysm
YVW
Thank you!!!!
To find out how many tons of grain the freight train is carrying, we need to add together the weights of corn, oats, and wheat.
First, let's add the weights of corn and oats:
12 1/2 tons of corn + 11 1/3 tons of oats
To add these amounts, we need to make sure they have a common denominator.
The denominator in 1/2 is 2, and the denominator in 1/3 is 3.
To find the common denominator, we multiply 2 and 3, which gives us 6.
Now, let's convert the fractions to have a denominator of 6:
12 1/2 tons of corn = 12 3/6 tons
11 1/3 tons of oats = 11 2/6 tons
Adding them together:
12 3/6 tons + 11 2/6 tons = 23 5/6 tons
Now, let's add the weight of wheat:
23 5/6 tons + 6 1/4 tons
Again, we need to convert the fractions to have a common denominator.
The denominator in 5/6 is 6, and the denominator in 1/4 is 4.
To find the common denominator, we multiply 6 and 4, which gives us 24.
Converting the fractions to have a denominator of 24:
23 5/6 tons = 23 20/24 tons
6 1/4 tons = 6 6/24 tons
Adding them together:
23 20/24 tons + 6 6/24 tons = 29 26/24 tons
Finally, we can simplify the sum by converting it to a mixed number:
29 26/24 tons = 30 2/24 tons
But we can reduce this further. Both the numerator and the denominator are divisible by 2:
30 2/24 tons = 30 1/12 tons
Therefore, the freight train is carrying 30 1/12 tons of grain.